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1 year ago

The following lines are ______ 4x + 2y = 10 y = -2x + 15

Mathematics

2 answers:

frosja888 [35]1 year ago

6 0

Answer:

Parallel

Step-by-step explanation:

They have the same slope, but different y intercepts.

4x + 2y = 10 Subtract 4x from both sides

2y = -4x +10 Now divide both sides by 2

y = -2x + 5 Compare to y = -2x + 15. Both equations have the same slope or steepness, but they do not cross the y axis at the same place. The first equation given crosses the y axis at 5 and the second equation crosses the y axis at 15

zmey [24]1 year ago

4 0

Answer:

Parallel

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

4x + 2y = 10 ( subtract 4x from both sides )

2y = - 4x + 10 ( divide through by 2 )

y = - 2x + 5 ← in slope- intercept form

with slope m = - 2

and

y = - 2x + 15 ← is in slope- intercept form

with slope m = - 2

• parallel lines have equal slopes

then the 2 lines are parallel

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3 years ago

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Maksim231197 [3]

Answer:

A sample of 1077 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

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In which

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This means that $\pi = 0.42$

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So $\alpha = 0.02$ , z is the value of Z that has a pvalue of $1 - \frac{0.02}{2} = 0.99$ , so $Z = 2.327$ .

How large of a sample size is required?

A sample size of n is required, and n is found when M = 0.035. So

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$0.035 = 2.327\sqrt{\frac{0.42*0.58}{n}}$

$0.035\sqrt{n} = 2.327\sqrt{0.42*0.58}$

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$(\sqrt{n})^2 = (\frac{2.327\sqrt{0.42*0.58}}{0.035})^2$

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Rounding up:

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3 years ago

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a_sh-v [17]

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2 years ago

The graph of which function has an axis of symmetry at x = 3? f(x) = x2 3x 1 or f(x) = x2 – 3x – 3 or f(x) = x2 6x 3 or f(x) = x

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3 years ago

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stich3 [128]

Answer:

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